41 P6.RA.TL.16010101
Level 2
The ratio of kiwis to watermelons is 2 : 5. If 304 watermelons were added, the ratio of kiwis to watermelons will be 3 : 17. How many kiwis are there?
2 m
Ratio to units Unchanged quantity Units table
42 P5.RA.JM.17083161
Level 2
The sides of a triangle are in the ratio 5 : 2 : 3. The length of the longest side is 20 cm. Find the length of the shortest side of the triangle.
2 m
Ratio to units Area Perimeter Units method
43 P5.RA.JM.17083137
Level 2
In the circle, the ratio of the area of the shaded part to the area of the unshaded part is 3 : 1. Given that the area of the shaded part is 48 cm2, what is the area of the circle?
2 m
Ratio to units Area Perimeter Units method
44 P6.RA.TL.16010102
Level 2
The ratio of coconuts to mangosteens is 2 : 7. If 348 mangosteens are added, the ratio of coconuts to mangosteens will be 2 : 11. How many more mangosteens than coconuts are there in the end?
2 m
Ratio to units More than or less than Unchanged quantity Units table
45 P5.RA.JM.17083136
Level 2
The ratio of three sides of a triangle is 4 : 5 : 3. If the perimeter of the triangle is 60 cm, how long is the longest side of the triangle?
2 m
Ratio to units Area Perimeter Units method
46 P5.RA.JM.17083133
Level 2
Patricia is preparing a fruit punch by mixing syrup with water in the ratio of 2 : 3. How much syrup is needed if 18 litres of water is used?
2 m
Ratio to units Volume Units method
47 P6.RA.NK.21060204
Level 1 PSLE
Sandy had 50 stickers and Tina had 22 stickers. After Sandy gave some of her stickers to Tina, the number of stickers Sandy and Tina had was in the ratio 1 : 2. How many stickers did Tina have in the end?
2 m
Ratio to units Internal transfer Unchanged total Units table
48 P6.RA.JC.17050711
Level 2
The ratio of Wendy's stamps to Yoko's stamps at first was 3 : 4. After Wendy gave Yoko 24 stamps, the ratio of Wendy's stamps to Yoko's stamps is 1 : 2. What was the total number of stamps they had altogether?
2 m
Ratio to units Internal transfer Unchanged total Units table
49 P6.RA.TL.16010103
Level 2
The ratio of Tim's money to Carl's money is 3 : 5. If Carl has $845, how much must he give to Tim so both will have the equal amount of money?
2 m
Ratio to units Money Equal stage after Internal transfer Unchanged total Units table
50 P6.RA.TL.16010140
Level 2
Carl bought some mangosteens and soursops in the ratio of 1 : 4 . After buying another 24 fruits each, the ratio becomes 5 : 12. Find the number of mangosteens and soursops he has now.
2 m
Ratio to units Unchanged difference Units table
51 P6.RA.TL.16010111
Level 2
Mark and Nick shared some beads in the ratio of 4 : 7. After both each gave away 47 beads to their younger brother, the ratio of the number of beads Mark had to the total number of beads left was 1 : 3. How many beads did the two boys have at first?
2 m
Ratio to units Unchanged difference Units table
52 P6.RD.JC.18090601
Level 2
At a club dinner, every member brought 1 or 2 guests. If the ratio of the number of members to the number of guests was 3 : 5, what fraction of the members who brought 2 guests each?
2 m
Fraction of a set Ratio to units Make supposition
53 P6.RA.TL.16010115
Level 2
Mr George is 3 times as old as his son, Nick. 6 years ago, the ratio in the age of Mr George and Nick was 7 : 2. Find Nick's current age.
2 m
Ratio to units Times as many Unchanged difference Units table
54 P6.ST.JC.18121454
Level 3
Fill in the blanks in numbers, units or unit equations.
Adam and Bryan share a sum of money in the ratio 5 : 7.
After Adam gives 23 of his money to Bryan,
Bryan has $52 more than Adam.

  1. Difference in the amount between Adam and Bryan at first = _____ u
  2. Amount that Bryan has in the end = _____ u
  3. Total amount that they have in the end = _____ u
  4. 1 u = $_____
4 m
Fraction to units Ratio to units Internal transfer Units table Units manipulation
55 P6.RA.JC.17050710
Level 2
Sofie and Thora shared a sum of money in the ratio 2 : 5. After Sofie spent $45, the ratio became 1 : 3. How much money did Thora have?
2 m
Ratio to units Unchanged quantity Units table
56 P6.RA.NK.21060203
Level 1 PSLE
The ratio of the number of vests to that of skirts in a shopping centre was 3 : 2 at first. After 30 skirts were sold, the ratio of the number of vests to that of skirts became 4 : 1. What was the total number of vests and skirts in the shopping centre at first?
2 m
Ratio to units Unchanged quantity Units table
57 P6.RA.JC.23030110
Level 3
The number of boys and girls in a hall were in the ratio 2 : 7. After 15 boys entered the hall and half the number of girls left the hall, the ratio of the number of boys to girls became 1 : 1. How many children were there in the hall at first?
2 m
Ratio to units Equal stage after All change Decimal units Units table
58 P6.ST.JC.18121459
Level 2
Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 3 : 2.
The ratio of the number of boys to the number of girls in Class B is 4 : 5.
The number of boys is the same.

  1. Number of boys in Class A = _____ u
  2. Number of girls in Class B = _____ u
  3. Number of children in Class B = _____ u
  4. Total number of children = _____ u
4 m
Ratio to units Equal stage Units table Units manipulation
59 P5.RA..JC.17122901
Level 2
Amin has a number of $2 and $5 notes in the ratio of 7: 4. The total value of all the notes is $306. How many $5 notes does Amin have?
2 m
Ratio to units Money Number x value Units table
60 P6.ST.JC.18121460
Level 2
Fill in the blanks.
The ratio of the number of boys to the number of girls in Class A is 3 : 2.
The ratio of the number of boys to the number of girls in Class B is 4 : 5.
The number of boys is the same.

  1. Difference in the number of children in Class A and Class B = _____ u
  2. Difference in the number of girls in Class A and Class B = _____ u
  3. Total number of boys = _____ u
  4. Total number of girls = _____ u
4 m
Ratio to units Equal stage Units table Units manipulation

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